Which statements justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor? Check all that apply.

A. The triangle pre-image is closer to the point of dilation than the image.
B. The triangle image is closer to the point of dilation than the pre-image.
C. The value of the scale factor, , is between 0 and 1.
D. The value of the scale factor, 6, is greater than 1.
E. The vertices of the pre-image are collinear with the vertices of the image.

Which statements justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor Check all that apply A The class=

Respuesta :

A, and D, for sure.
although E I have no idea what those words mean (XD)

However B and C are completely wrong.

" S " is the "pre-image" and " S' " is the "Image"
the pre-image is closer to the dilation point P in distance 2 units, whilst the other is 12 units away.

The options that are correct for the two of the given triangles are A, D, and E.

What is dilation?

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

The options that are correct about the two of the given triangles are:

A.) The pre-image of the triangle is shown by ΔTUS while the image of the triangle is shown by ΔT'U'S'. Also, since the point of dilation is P, therefore, it is close to the pre-image.

D.) Given the distance between the image and the dilation point is 2, the distance between the image and the dilation point is 12(10+2). Therefore, the scale factor will be 6 (12/2), which is larger than 1.

E.) The collinear points are those points that are on the same straight line. As it can be seen that the vertices of the triangles are in the same line. therefore, we can conclude that the vertices of the pre-image are collinear with the vertices of the image.

Hence, The options that are correct for the two of the given triangles are A, D, and E.

Learn more about Dilation:

https://brainly.com/question/13176891

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